Simplify the expression given below. x+2/ 4x^{2} +5x+1 *4x+1/2x-4[/tex]

A bag contains purple marbles and blue marbles, 41 in total. The number of purple marbles is 4 less than 2 times the number of b

Andreas93 [3]

Answer:

There are 26 purple marbles in the bag.

Step-by-step explanation:

1) We have purple (p) and blue (b) marbles in a bag, and 41 marbles total so:

p+b = 41

2) we want to know how many purple marbles we have, so let's rearrange for p:

p = 41 - b

3) Our problem gives us an expression for the purple marbles in terms of the blue, let's write it using math symbols instead of words:

"The number of purple marbles is 4 less than 2 times the number of blue marbles."

so: p = 2b - 4

3) Now we're going to plug this in (or substitute it) for our p in our first equation, and solve for b

p = 41 - b

2b - 4 = 41 - b (substitution)

2b = 45 - b ( add 4 to both sides)

3b = 45 (add b to both sides)

b = 15 (divide both sides by 3)

4, last step!)

Now we know we have 15 blue marbles, that's great! But we still want to know how many purple marbles we have.

41- 15 = 26 purple marbles

4 0

3 years ago

Solve for y Please help I need a tip

Gwar [14]

Answer:

y = 4

Step-by-step explanation:

Step 1: Write equation

9/4y - 12 = 1/4y - 4

Step 2: Solve for y

Subtract 1/4y on both sides: 8/4y - 12 = -4
Simplify: 2y - 12 = -4
Add 12 to both sides: 2y = 8
Divide both sides by 2: y = 4

Step 3: Check

Plug in x to verify it's a solution.

9/4(4) - 12 = 1/4(4) - 4

9 - 12 = 1 - 4

-3 = -3

4 0

3 years ago

Elena , Matthew, and Kevin painted 5/9 of the wall and Matthew painted 3/9 of the wall and. Kevin painted the rest of the wall.

photoshop1234 [79]

Matthew painted 2/9 of the wall

7 0

3 years ago

Help!! This doesn't make any sense to me. Can anyone help me solve for the value of x?

notsponge [240]

Exterior angle of the triangle is equal to the sum of the opposite angles.

9x = 5x + 9 + x

Combine like terms:
9x = 6x + 9

Take away 6x from both sides:
3x = 9

Divide by 3 on both sides:
x = 3

Answer: x = 3

6 0

3 years ago

Harper has $15to spend at the grocery store.She is going to buy bags of fruit that cost $4.75 each and one box of crackers that

Yuki888 [10]

Answer:

The maximum number of fruits bag Harper can buy are 3.

Step-by-step explanation:

Let there be x bags of fruits.

Let there be y boxes of chocolates

Cost of 1 bag of fruit = $4.75

So, cost of x bags = $4.75x

Cost of one box of crackers costs = $3.50

As per the given situation, the inequality forms:

$4.75x+3.50y\leq 15$

So, the maximum number of bags of fruit Harper can buy, is when she buys no box of cracker.

So, putting y = 0 in above inequality , we have,

$4.75x+3.50(0)\leq 15$

=> $4.75x+0\leq 15$

=> $4.75x \leq 15$

$x\leq 3.15$ rounding to 3.

Hence, the maximum number of fruits bag Harper can buy are 3.

5 0

3 years ago